Hello!
ANSWER
The painting would cost $387.45.
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EXPLANATION
2' 3" = 27"
3' 5" = 41"
Multiply the length by the width (in inches) of the painting.
27 * 41 = 1107
We now know that the area of the painting is 1107
Next, multiply the cost per square inch (0.35) by the total amount of square inches (1107).
.35 * 1107 = 387.45
From the information: v is 64 while c is 5
Differentiate the new equation h=-16
+ 64t + 5 to get
= -32t + 64.
no 13). At maximum height this derivative equals zero so: -32t + 64 = 0; -32t = -64; t=2.Hence ans is 2 secs
no 14). put t as 2 sec in the equation: h=-16
+ 64t + 5. This gives
h=-16(
) + 64(2) + 5; h=-64+128+5=69. Hence h is 69ft
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time 
At 
After
seconds, the weight of the bucket is 
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after
seconds is 
Since the well is 80 ft deep, the time to pull out the bucket is 
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write

Use
and 



![=\left[63 t-0.2 t^{2}\right]_{0}^{36}](https://tex.z-dn.net/?f=%3D%5Cleft%5B63%20t-0.2%20t%5E%7B2%7D%5Cright%5D_%7B0%7D%5E%7B36%7D)

Answer:
Step-by-step explanation:
This is probably pretty late, but I'll do it anyway.
There are 8 parts all together.
3x + 5x = 32 Combine the terms on the left.
8x = 32 Divide by 8
8x = 32/8
x = 4
Therefore the red gifts are 3*4 = 12
The green gifts are <u> 5*4 = 20</u>
Total 32 Just as it should